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Finding the Fourth Proportional to 474,546.30, 654,873.89 and 259,686.44

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Solution

The fourth proportional to 474,546.30, 654,873.89 and 259,686.44 is: 358,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,546.30 : 654,873.89 = 259,686.44 : x
  2. Step 2: Convert to fraction form
    474,546.30/654,873.89 = 259,686.44/x
  3. Step 3: Cross multiply
    474,546.30x = 654,873.89 × 259,686.44
  4. Step 4: Simplify right side
    474,546.30x = 170,061,864,570.25
  5. Step 5: Solve for x
    x = 170,061,864,570.25/474,546.30
  6. Step 6: Final answer
    x = 358,367.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.